Maths Olympiad Prep

Library /Berkeley Math Circle: Monthly Contest 2

Berkeley Math Circle: Monthly Contest 2

42 problems here, rated 4.2 to 5.2 on our scale (AIME to AIME, harder). 40 of them ask for a proof.

Algebra 8Combinatorics 15Geometry 12Number theory 7
#TopicDiffTypeYear
1 Algebra 4.2 answer — open
2 Combinatorics 4.3 proof — open
3 Number theory 4.3 answer — open
4 Algebra 4.3 proof — open
5 Geometry 4.4 proof — open
6 Geometry 4.4 proof — open
7 Geometry 4.4 proof — open
8 Number theory 4.4 proof — open
9 Geometry 4.5 proof — open
10 Geometry 4.7 proof — open
11 Geometry 4.7 proof — open
12 Number theory 4.7 proof — open
13 Combinatorics 4.8 proof — open
14 Combinatorics 4.8 proof — open
15 Combinatorics 4.8 proof — open
16 Number theory 4.8 proof — open
17 Geometry 4.8 proof — open
18 Algebra 4.8 proof — open
19 Number theory 4.8 proof — open
20 Number theory 4.9 proof — open
21 Geometry 4.9 proof — open
22 Combinatorics 4.9 proof — open
23 Combinatorics 4.9 proof — open
24 Algebra 5.0 proof — open
25 Combinatorics 5.0 proof — open
26 Algebra 5.0 proof — open
27 Combinatorics 5.0 proof — open
28 Algebra 5.1 proof — open
29 Geometry 5.1 proof — open
30 Algebra 5.1 proof — open
31 Combinatorics 5.1 proof — open
32 Geometry 5.1 proof — open
33 Combinatorics 5.2 proof — open
34 Combinatorics 5.2 proof — open
35 Combinatorics 5.2 proof — open
36 Geometry 5.2 proof — open
37 Combinatorics 5.2 proof — open
38 Number theory 5.2 proof — open
39 Geometry 5.3 proof — open
40 Algebra 5.3 proof — open
41 Combinatorics 5.4 proof — open
42 Combinatorics 5.5 proof — open
These are sorted by difficulty within the competition, but they aren't a course. The track is the route through, drawn from all the sources at once.